What is the equation of the following line that passes through the points (1,1) and (5,5) a. y-x=0 b. x-y=0 c.-x-y=0

The generic equation of the line is:
 
 Where, the slope is given by:
 
 Substituting values we have:
 
 Rewriting:
 
 
 We now choose an ordered pair:
 
 Then, replacing values we have:
 
 Rewriting the equation we have:
 
 
 the equation of the line that passes through the points (1,1) and (5,5) is:
 A. Y-x=0

Bis the right answer